dorsal/arxiv
View SchemaDisplacement deformed quantum fields
| Authors | Peter Morgan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610077 |
| URL | https://arxiv.org/abs/quant-ph/0610077 |
Abstract
A displacement operator d_\zeta is introduced, verifying commutation relations [d_\zeta, a_f^\dagger]=[d_\zeta, a_f]=\zeta(f)d_\zeta with field creation and annihilation operators that verify [a_f,a_g]=0, [a_f,a_g^\dagger]=(g,f), as usual. f and g are test functions, \zeta is a Poincare invariant real-valued function on the test function space, and (g,f) is a Poincare invariant Hermitian inner product. The *-algebra generated by all these operators, and a state defined on it, nontrivially extends the *-algebra of creation and annihilation operators and its Fock space representation. If the usual requirement for linearity is weakened, as suggested in quant-ph/0512190, we obtain a deformation of the free quantum field.
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"abstract": "A displacement operator d_\\zeta is introduced, verifying commutation\nrelations [d_\\zeta, a_f^\\dagger]=[d_\\zeta, a_f]=\\zeta(f)d_\\zeta with field\ncreation and annihilation operators that verify [a_f,a_g]=0,\n[a_f,a_g^\\dagger]=(g,f), as usual. f and g are test functions, \\zeta is a\nPoincare invariant real-valued function on the test function space, and (g,f)\nis a Poincare invariant Hermitian inner product. The *-algebra generated by all\nthese operators, and a state defined on it, nontrivially extends the *-algebra\nof creation and annihilation operators and its Fock space representation. If\nthe usual requirement for linearity is weakened, as suggested in\nquant-ph/0512190, we obtain a deformation of the free quantum field.",
"arxiv_id": "quant-ph/0610077",
"authors": [
"Peter Morgan"
],
"categories": [
"quant-ph"
],
"title": "Displacement deformed quantum fields",
"url": "https://arxiv.org/abs/quant-ph/0610077"
},
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"source": {
"execution_id": "a9742592-8ac1-441b-86bd-327598a5616e",
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"type": "Model",
"variant": "snapshot-2026-03-01",
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